

A055928


Sum of square divisors of n! = sum of squares of divisors of the square root of largest square dividing n!.


1



1, 1, 1, 5, 5, 210, 210, 850, 7735, 806806, 806806, 3229590, 3229590, 161479500, 1455090000, 23286770000, 23286770000, 838446909300, 838446909300, 83973923013750, 83973923013750, 10244818607677500, 10244818607677500
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OFFSET

1,4


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..505


FORMULA

a(n) = A035316(n!) = A001157(A055772(n)) = A001157(A000188(n!)).


MATHEMATICA

f[p_, e_] := If[OddQ[e], (p^(e+1)1)/(p^21) , (p^(e+2)1)/(p^21)]; a[1] = 1; a[n_] := Times @@ (f @@@ FactorInteger[n!]); Array[a, 23] (* Amiram Eldar, Aug 01 2019 *)


CROSSREFS

A001157, A000142, A035316, A055772, A000188.
Sequence in context: A229767 A215729 A094463 * A213145 A195567 A051716
Adjacent sequences: A055925 A055926 A055927 * A055929 A055930 A055931


KEYWORD

nonn


AUTHOR

Labos Elemer, Jul 21 2000


STATUS

approved



